Six TESS visits limit stable HAT-P-2 harmonics 79 and 91 to 8.4 and 8.7 ppm under a daily block error model

We test the 79th and 91st orbital harmonics of HAT-P-2 in six public TESS light curves from 2020, 2022, and 2024. Earlier Spitzer data showed unexplained infrared signals near these orders. We use all six 120-second SPOC products for TIC 39903405. We mask transits and eclipses and fit both sine and cosine pairs with spline trends. The fixed period is 5.63346961 days. The fit uses 79056 rows and a covariance estimate from 142 daily blocks. Neither optical test gives a detection. The fitted semi-amplitudes are 1.55 and 2.02 parts per million (ppm). Conservative upper bounds are 8.42 and 8.65 ppm, with approximate joint 95% coverage under the stated error model. These bounds require constant amplitude and phase across all visits and independent daily block scores. Separate year and visit fits give weaker bounds and no corrected detection. Checks with aperture flux, different trends, masks, frequencies, and error estimates keep the combined bounds below 12.2 ppm. A test that adds power across visits with free phase also gives no detection. The package includes the six source files, checksums, data queries, code, full results, figures, and a reproduction runner. The result constrains stable modes in the delivered optical data. Different passbands and observation dates prevent a direct refutation of the infrared result. Variable modes, short episodes, and upstream signal loss remain outside the main limits.

HAT-P-2 · TESS · stellar oscillations · orbital harmonics · tidal oscillations · optical upper bounds · public astronomical data